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Finding the Fourth Proportional to 417.98, 627.01 and 129.42

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Solution

The fourth proportional to 417.98, 627.01 and 129.42 is: 194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.98 : 627.01 = 129.42 : x
  2. Step 2: Convert to fraction form
    417.98/627.01 = 129.42/x
  3. Step 3: Cross multiply
    417.98x = 627.01 × 129.42
  4. Step 4: Simplify right side
    417.98x = 81,147.31
  5. Step 5: Solve for x
    x = 81,147.31/417.98
  6. Step 6: Final answer
    x = 194.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.